20588916391680 has 2304 divisors, whose sum is σ = 86425865551872. Its totient is φ = 4060938240000.

The previous prime is 20588916391651. The next prime is 20588916391699. The reversal of 20588916391680 is 8619361988502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67064874087 + ... + 67064874393.

It is an arithmetic number, because the mean of its divisors is an integer number (37511226368).

Almost surely, 2^{20588916391680} is an apocalyptic number.

20588916391680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20588916391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43212932775936).

20588916391680 is an abundant number, since it is smaller than the sum of its proper divisors (65836949160192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20588916391680 is a wasteful number, since it uses less digits than its factorization.

20588916391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 66.

The spelling of 20588916391680 in words is "twenty trillion, five hundred eighty-eight billion, nine hundred sixteen million, three hundred ninety-one thousand, six hundred eighty".